Consider the function f(x) = x^3 / x − 2 1. Give the intervals of increase...

Consider the function f(x) = x^3 / x − 2

1. Give the intervals of increase and the intervals of decrease for f(x).

2. Give the location of any local maximums and local minimums on the graph of y = f(x). Give your answer(s) as a point, listing both the x-coordinates and y-coordinates.

3. List the intervals of concavity for f(x).

4. Identify any inflection points on the graph of y = f(x). Give your answer(s) as a point, listing both the x-coordinates and y-coordinates.

5. Sketch the graph of y = f(x) on the axes below. Be sure your graph reflects all of the information above.

Expert Solution

milcah answered 2 years ago

Find intervals of increase/decrease, max/min values, intervals of concavitiy. f(x)=x^3 -3x^2 +2

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